Search a number
-
+
2212011120 = 2435111097687
BaseRepresentation
bin1000001111011000…
…1001110001110000
312201011021210210210
42003312021301300
514012233323440
61003255024120
7105546533004
oct20366116160
95634253723
102212011120
11a35693770
1251896b040
13293378727
1416dac6704
15ce2e0a80
hex83d89c70

2212011120 has 160 divisors (see below), whose sum is σ = 7550231040. Its totient is φ = 531256320.

The previous prime is 2212011119. The next prime is 2212011121. The reversal of 2212011120 is 211102122.

It is an interprime number because it is at equal distance from previous prime (2212011119) and next prime (2212011121).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2212011096 and 2212011105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2212011121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283917 + ... + 291603.

It is an arithmetic number, because the mean of its divisors is an integer number (47188944).

Almost surely, 22212011120 is an apocalyptic number.

2212011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775115520).

2212011120 is an abundant number, since it is smaller than the sum of its proper divisors (5338219920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2212011120 is a wasteful number, since it uses less digits than its factorization.

2212011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7823 (or 7817 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2212011120 is about 47032.0222826959. The cubic root of 2212011120 is about 1302.9540554422.

Adding to 2212011120 its reverse (211102122), we get a palindrome (2423113242).

The spelling of 2212011120 in words is "two billion, two hundred twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 109 110 120 132 165 176 218 220 240 264 327 330 436 440 528 545 654 660 872 880 1090 1199 1308 1320 1635 1744 2180 2398 2616 2640 3270 3597 4360 4796 5232 5995 6540 7194 7687 8720 9592 11990 13080 14388 15374 17985 19184 23061 23980 26160 28776 30748 35970 38435 46122 47960 57552 61496 71940 76870 84557 92244 95920 115305 122992 143880 153740 169114 184488 230610 253671 287760 307480 338228 368976 422785 461220 507342 614960 676456 837883 845570 922440 1014684 1268355 1352912 1675766 1691140 1844880 2029368 2513649 2536710 3351532 3382280 4058736 4189415 5027298 5073420 6703064 6764560 8378830 9216713 10054596 10146840 12568245 13406128 16757660 18433426 20109192 20293680 25136490 27650139 33515320 36866852 40218384 46083565 50272980 55300278 67030640 73733704 92167130 100545960 110600556 138250695 147467408 184334260 201091920 221201112 276501390 368668520 442402224 553002780 737337040 1106005560 2212011120